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Finding the Fourth Proportional to 256,906.44, 385,038.72 and 123,761.88

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Solution

The fourth proportional to 256,906.44, 385,038.72 and 123,761.88 is: 185,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,906.44 : 385,038.72 = 123,761.88 : x
  2. Step 2: Convert to fraction form
    256,906.44/385,038.72 = 123,761.88/x
  3. Step 3: Cross multiply
    256,906.44x = 385,038.72 × 123,761.88
  4. Step 4: Simplify right side
    256,906.44x = 47,653,115,859.99
  5. Step 5: Solve for x
    x = 47,653,115,859.99/256,906.44
  6. Step 6: Final answer
    x = 185,488.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.